57258400680 has 192 divisors, whose sum is σ = 202279109760. Its totient is φ = 13962530304.

The previous prime is 57258400679. The next prime is 57258400687. The reversal of 57258400680 is 8600485275.

57258400680 is a `hidden beast` number, since 5 + 7 + 2 + 584 + 0 + 0 + 68 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (57258400687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 443589 + ... + 557931.

It is an arithmetic number, because the mean of its divisors is an integer number (1053537030).

Almost surely, 2^57258400680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57258400680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101139554880).

57258400680 is an abundant number, since it is smaller than the sum of its proper divisors (145020709080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57258400680 is a wasteful number, since it uses less digits than its factorization.

57258400680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114480 (or 114473 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 57258400680 in words is "fifty-seven billion, two hundred fifty-eight million, four hundred thousand, six hundred eighty".